Finite Group Databasebeta

← C43×#60373 #24980390

Subgroups — C43×#60373 #24980390

Order 11008.

5058 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×H(5,𝔽2)×C43C211yesmaximal, characteristic, complemented
2C2×C43×#577C212yesmaximal, complemented
3C43×#3489C211yesmaximal, characteristic, complemented
4C43×#3012C216yesmaximal, complemented
5C43×#3009C216yesmaximal, complemented
6C43×#3007C213yesmaximal, complemented
7C43×#3003C213yesmaximal, complemented
8C43×#3002C213yesmaximal, complemented
9C2×C43×#450C213yesmaximal, complemented
10C43×#2897C212yesmaximal, complemented
11C43×#2880C211yesmaximal, characteristic, complemented
12C2×2−1+4×C43C2211yescharacteristic, complemented
13C2×H(5,𝔽2)×C43—216no—
14C2×H(5,𝔽2)×C43—23no—
15C2×H(5,𝔽2)×C43—21no—
16C2×H(5,𝔽2)×C43C2216yes—
17C2×H(5,𝔽2)×C43C2212yes—
18C22×#41×C43—21no—
19C22×#41×C43C2213yes—
20C22×#41×C43C2211yescharacteristic
21C23×D4×C43—23no—
22C23×D4×C43C2213yes—
23C43×#577—216no—
24C2×#137×C43C2216yescomplemented
25C2×AGL(1,ℤ/8)×C43C2216yescomplemented
26C2×#135×C43C2216yescomplemented
27C22×SD16×C43C2216yescomplemented
28C2×#131×C43C2212yescomplemented
29D4×Q8×C43—21no—
30C43×#548—21no—
31C43×#547—23no—
32C43×#546—23no—
33C43×#537C2213yescomplemented
34C43×#536C2213yescomplemented
35C43×#525C2213yescomplemented
36C2×C22⋊Q8×C43C2213yescomplemented
37C43×#520C2211yescharacteristic, complemented
38C43×#452C2216yescomplemented
39C43×#452C22112yescomplemented
40C43×#451C2213yescomplemented
41C43×#450C2213yescomplemented
42C43×#450C2216yescomplemented
43C43×#450C22112yescomplemented
44C43×#450C2216yescomplemented
45C43×#449C2216yescomplemented
46C43×#448C2211yescharacteristic, complemented
47C43×#447C2213yescomplemented
48C43×#447C2216yescomplemented
49C43×#418C2216yescomplemented
50C43×#417C2216yescomplemented
51C43×#416C2216yescomplemented
52C2×#102×C43C2216yescomplemented
53C43×#408C2216yescomplemented
54C43×#407C2213yescomplemented
55C2×C22⋊C8×C43C2213yescomplemented
56C25×C43—23no—
572−1+4×C43—28no—
58H(5,𝔽2)×C43—216no—
59H(5,𝔽2)×C43—248no—
60H(5,𝔽2)×C43—224no—
61H(5,𝔽2)×C43—28no—
62H(5,𝔽2)×C43—224no—
63H(5,𝔽2)×C43D4116yescomplemented
64C2×#41×C43—216no—
65C2×#41×C43—224no—
66C2×#41×C43—28no—
67C2×#41×C43—26no—
68C2×#41×C43—22no—
69C2×#41×C43—23no—
70C2×#41×C43—23no—
71C2×#41×C43—23no—
72C2×#41×C43D413yes—
73C2×#41×C43D411yescharacteristic
74C2×#41×C43C2316yes—
75C2×#41×C43C2316yes—
76C2×#41×C43C2313yes—
77C2×#41×C43C2311yescharacteristic
78C2×#41×C43C2313yescomplemented
79C22×Q8×C43—21no—
80C22×Q8×C43D411yescharacteristic
81C22×Q8×C43C2311yescharacteristic
82C22×Q8×C43C2313yescomplemented
83C22×D4×C43—248no—
84C22×D4×C43—23no—
85C22×D4×C43—212no—
86C22×D4×C43—26no—
87C22×D4×C43—26no—
88C22×D4×C43—224no—
89C22×D4×C43—23no—
90C22×D4×C43—23no—
91C22×D4×C43—23no—
92C22×D4×C43D413yes—
93C22×D4×C43C2313yes—
94C22×D4×C43C2316yes—
95C22×D4×C43C2316yes—
96C23×C4×C43—23no—
97C23×C4×C43C2313yes—
98#137×C43—224no—
99AGL(1,ℤ/8)×C43—224no—
100#135×C43—224no—
101C2×Q16×C43C2316yescomplemented
102C2×SD16×C43—224no—
103C2×SD16×C43C2316yescomplemented
104C2×SD16×C43C23112yescomplemented
105C2×SD16×C43C2312yescomplemented
106C2×D8×C43C2316yescomplemented
107#131×C43—28no—
108C2×M16×C43C2316yescomplemented
109C22×C8×C43C2316yescomplemented
110C4⋊Q8×C43—23no—
111#124×C43—23no—
112#123×C43—26no—
113#123×C43—23no—
114C22⋊Q8×C43—23no—
115C22⋊Q8×C43—23no—
116C22⋊Q8×C43—23no—
117C22⋊Q8×C43C2313yes—
118C22⋊Q8×C43C2316yescomplemented
119C22⋊Q8×C43C2313yescomplemented
120#121×C43—26no—
121#121×C43—23no—
122#121×C43C2311yescharacteristic
123#121×C43C2313yescomplemented
124#120×C43—23no—
125C4×Q8×C43—21no—
126C4×D4×C43—23no—
127C4×D4×C43—23no—
128C4×D4×C43—23no—
129#117×C43C2313yescomplemented
130C2×C4⋊C4×C43—23no—
131C2×C4⋊C4×C43C2313yescomplemented
132C2×C22⋊C4×C43—23no—
133#103×C43C2312yescomplemented
134#103×C43C2316yescomplemented
135#102×C43C2316yescomplemented
136#102×C43C23112yescomplemented
137#102×C43C2316yescomplemented
138C22⋊C8×C43C2311yescharacteristic
139C22⋊C8×C43C2313yes—
140C22⋊C8×C43C2316yescomplemented
141C22⋊C8×C43C2316yescomplemented
142C24×C43—224no—
143C24×C43—23no—
144C24×C43—26no—
145C24×C43—26no—
146C24×C43—86no—
147C24×C43—86no—
148C24×C43C2×D413yes—
149#41×C43—224no—
150#41×C43—248no—
151#41×C43—224no—
152#41×C43—216no—
153#41×C43—24no—
154#41×C43—212no—
155#41×C43—212no—
156#41×C43—212no—
157#41×C43—212no—
158#41×C43—212no—
159#41×C43—212no—
160#41×C43—412no—
161#41×C43C2×D4124yes—
162#41×C43C2×D418yes—
163C2×Q8×C43—24no—
164C2×Q8×C43—24no—
165C2×Q8×C43—21no—
166C2×Q8×C43—23no—
167C2×Q8×C43—212no—
168C2×Q8×C43—44no—
169C2×Q8×C43C2×D413yes—
170C2×Q8×C43C2×D411yescharacteristic
171C2×Q8×C43C2413yes—
172C2×Q8×C43C2412yes—
173C2×D4×C43—224no—
174C2×D4×C43—224no—
175C2×D4×C43—248no—
176C2×D4×C43—224no—
177C2×D4×C43—296no—
178C2×D4×C43—224no—
179C2×D4×C43—212no—
180C2×D4×C43—248no—
181C2×D4×C43—212no—
182C2×D4×C43—224no—
183C2×D4×C43—26no—
184C2×D4×C43—23no—
185C2×D4×C43—26no—
186C2×D4×C43—212no—
187C2×D4×C43—26no—
188C2×D4×C43—26no—
189C2×D4×C43—21no—
190C2×D4×C43—23no—
191C2×D4×C43—23no—
192C2×D4×C43C2×D4124yes—
193C2×D4×C43C2×D416yes—
194C2×D4×C43C2×D413yes—
195C2×D4×C43C2×D413yes—
196C2×D4×C43C2411yescharacteristic
197C2×D4×C43C2416yes—
198C22×C4×C43—224no—
199C22×C4×C43—26no—
200C22×C4×C43—26no—
201C22×C4×C43—212no—
202C22×C4×C43—23no—
203C22×C4×C43—21no—
204C22×C4×C43—23no—
205C22×C4×C43—23no—
206C22×C4×C43C2×D413yes—
207C22×C4×C43C2×D413yes—
208C22×C4×C43C2×D413yes—
209C22×C4×C43C2411yescharacteristic
210C22×C4×C43C2413yes—
211C22×C4×C43C2413yes—
212Q16×C43—212no—
213SD16×C43—24no—
214SD16×C43—212no—
215SD16×C43—224no—
216D8×C43—212no—
217M16×C43—212no—
218C2×C8×C43—212no—
219C2×C8×C43C2412yes—
220C2×C8×C43C2416yes—
221C4⋊C4×C43—23no—
222C4⋊C4×C43—26no—
223C4⋊C4×C43—23no—
224C4⋊C4×C43—23no—
225C4⋊C4×C43C2413yes—
226C4⋊C4×C43C2411yescharacteristic
227C22⋊C4×C43—21no—
228C22⋊C4×C43—23no—
229C22⋊C4×C43—23no—
230C22⋊C4×C43—26no—
231C22⋊C4×C43—23no—
232C22⋊C4×C43—23no—
233C42×C43—23no—
234C23×C43—212no—
235C23×C43—224no—
236C23×C43—26no—
237C23×C43—26no—
238C23×C43—26no—
239C23×C43—224no—
240C23×C43—21no—
241C23×C43—43no—
242C23×C43—46no—
243C23×C43—46no—
244C23×C43—86no—
245C23×C43—86no—
246C23×C43—86no—
247C23×C43—86no—
248C23×C43—848no—
249C23×C43C22×D413yes—
250C23×C43C22×D413yes—
251C23×C43C22×D411yescharacteristic
252Q8×C43—24no—
253Q8×C43—26no—
254Q8×C43—22no—
255Q8×C43—26no—
256Q8×C43—46no—
257Q8×C43#12014yes—
258Q8×C43C22×D414yes—
259D4×C43—224no—
260D4×C43—224no—
261D4×C43—212no—
262D4×C43—224no—
263D4×C43—212no—
264D4×C43—224no—
265D4×C43—26no—
266D4×C43—26no—
267D4×C43—22no—
268D4×C43—46no—
269D4×C43—42no—
270D4×C43—83no—
271D4×C43#120112yes—
272D4×C43C22×D4112yes—
273C2×C4×C43—24no—
274C2×C4×C43—224no—
275C2×C4×C43—26no—
276C2×C4×C43—22no—
277C2×C4×C43—26no—
278C2×C4×C43—224no—
279C2×C4×C43—26no—
280C2×C4×C43—22no—
281C2×C4×C43—26no—
282C2×C4×C43—21no—
283C2×C4×C43—23no—
284C2×C4×C43—23no—
285C2×C4×C43—46no—
286C2×C4×C43—46no—
287C2×C4×C43—83no—
288C2×C4×C43C22×D413yes—
289C2×C4×C43C22×D411yescharacteristic
290C2×C4×C43C22×D413yes—
291C2×C4×C43C22×D4112yes—
292C2×C4×C43C2511yescharacteristic
293C8×C43—22no—
294C8×C43—26no—
295#60373C4311yesmaximal, characteristic, direct product factor, Sylow
296C22×C43—21no—
297C22×C43—23no—
298C22×C43—21no—
299C22×C43—23no—
300C22×C43—23no—
301C22×C43—212no—
302C22×C43—23no—
303C22×C43—23no—
304C22×C43—412no—
305C22×C43—424no—
306C22×C43—46no—
307C22×C43—46no—
308C22×C43—41no—
309C22×C43—41no—
310C22×C43—41no—
311C22×C43—824no—
312C22×C43—824no—
313C22×C43C2×#12016yes—
314C22×C43#57712yescomplemented
315C22×C43C23×D411yescharacteristic
316C4×C43—24no—
317C4×C43—23no—
318C4×C43—21no—
319C4×C43—43no—
320C4×C43—43no—
321C4×C43—41no—
322C4×C43C2×#12016yes—
323C4×C43C23×D412yes—
324C22×H(5,𝔽2)C2×C4311yescharacteristic, complemented
325C2×#577C2×C4312yescomplemented
326#3489C2×C4311yescharacteristic, complemented
327#3012C2×C4316yescomplemented
328#3009C2×C4316yescomplemented
329#3007C2×C4313yescomplemented
330#3003C2×C4313yescomplemented
331#3002C2×C4313yescomplemented
332C2×#450C2×C4313yescomplemented
333#2897C2×C4312yescomplemented
334#2880C2×C4311yescharacteristic, complemented
335C2×C43—22no—
336C2×C43—26no—
337C2×C43—43no—
338C2×C43—412no—
339C2×C43—81no—
340C2×C43C22×#12011yescharacteristic
341C2×C43C2×#57711yescharacteristic
342C2×C43#358511yescharacteristic
343C2×2−1+4C22×C4311yescharacteristic, complemented
344C2×H(5,𝔽2)—216no—
345C2×H(5,𝔽2)—23no—
346C2×H(5,𝔽2)—21no—
347C2×H(5,𝔽2)C22×C4316yes—
348C2×H(5,𝔽2)C22×C4312yes—
349C22×#41—21no—
350C22×#41C22×C4313yes—
351C22×#41C22×C4311yescharacteristic
352C23×D4—23no—
353C23×D4C22×C4313yes—
354#577—216no—
355C2×#137C22×C4316yescomplemented
356C2×AGL(1,ℤ/8)C22×C4316yescomplemented
357C2×#135C22×C4316yescomplemented
358C22×SD16C22×C4316yescomplemented
359C2×#131C22×C4312yescomplemented
360D4×Q8—21no—
361#548—21no—
362#547—23no—
363#546—23no—
364#537C22×C4313yescomplemented
365#536C22×C4313yescomplemented
366#525C22×C4313yescomplemented
367C2×C22⋊Q8C22×C4313yescomplemented
368#520C22×C4311yescharacteristic, complemented
369#452C22×C4316yescomplemented
370#452C22×C43112yescomplemented
371#451C22×C4313yescomplemented
372#450C22×C4313yescomplemented
373#450C22×C4316yescomplemented
374#450C22×C43112yescomplemented
375#450C22×C4316yescomplemented
376#449C22×C4316yescomplemented
377#448C22×C4311yescharacteristic, complemented
378#447C22×C4313yescomplemented
379#447C22×C4316yescomplemented
380#418C22×C4316yescomplemented
381#417C22×C4316yescomplemented
382#416C22×C4316yescomplemented
383C2×#102C22×C4316yescomplemented
384#408C22×C4316yescomplemented
385#407C22×C4313yescomplemented
386C2×C22⋊C8C22×C4313yescomplemented
387C43#6037311yescharacteristic, direct product factor, Sylow
388C25—23no—
3892−1+4—28no—
390H(5,𝔽2)—216no—
391H(5,𝔽2)—248no—
392H(5,𝔽2)—224no—
393H(5,𝔽2)—28no—
394H(5,𝔽2)—224no—
395H(5,𝔽2)D4×C43116yescomplemented
396C2×#41—216no—
397C2×#41—224no—
398C2×#41—28no—
399C2×#41—26no—
400C2×#41—22no—
401C2×#41—23no—
402C2×#41—23no—
403C2×#41—23no—
404C2×#41D4×C4313yes—
405C2×#41D4×C4311yescharacteristic
406C2×#41C23×C4316yes—
407C2×#41C23×C4316yes—
408C2×#41C23×C4313yes—
409C2×#41C23×C4311yescharacteristic
410C2×#41C23×C4313yescomplemented
411C22×Q8—21no—
412C22×Q8D4×C4311yescharacteristic
413C22×Q8C23×C4311yescharacteristic
414C22×Q8C23×C4313yescomplemented
415C22×D4—248no—
416C22×D4—23no—
417C22×D4—212no—
418C22×D4—26no—
419C22×D4—26no—
420C22×D4—224no—
421C22×D4—23no—
422C22×D4—23no—
423C22×D4—23no—
424C22×D4D4×C4313yes—
425C22×D4C23×C4313yes—
426C22×D4C23×C4316yes—
427C22×D4C23×C4316yes—
428C23×C4—23no—
429C23×C4C23×C4313yes—
430#137—224no—
431AGL(1,ℤ/8)—224no—
432#135—224no—
433C2×Q16C23×C4316yescomplemented
434C2×SD16—224no—
435C2×SD16C23×C4316yescomplemented
436C2×SD16C23×C43112yescomplemented
437C2×SD16C23×C4312yescomplemented
438C2×D8C23×C4316yescomplemented
439#131—28no—
440C2×M16C23×C4316yescomplemented
441C22×C8C23×C4316yescomplemented
442C4⋊Q8—23no—
443#124—23no—
444#123—26no—
445#123—23no—
446C22⋊Q8—23no—
447C22⋊Q8—23no—
448C22⋊Q8—23no—
449C22⋊Q8C23×C4313yes—
450C22⋊Q8C23×C4316yescomplemented
451C22⋊Q8C23×C4313yescomplemented
452#121—26no—
453#121—23no—
454#121C23×C4311yescharacteristic
455#121C23×C4313yescomplemented
456#120—23no—
457C4×Q8—21no—
458C4×D4—23no—
459C4×D4—23no—
460C4×D4—23no—
461#117C23×C4313yescomplemented
462C2×C4⋊C4—23no—
463C2×C4⋊C4C23×C4313yescomplemented
464C2×C22⋊C4—23no—
465#103C23×C4312yescomplemented
466#103C23×C4316yescomplemented
467#102C23×C4316yescomplemented
468#102C23×C43112yescomplemented
469#102C23×C4316yescomplemented
470C22⋊C8C23×C4311yescharacteristic
471C22⋊C8C23×C4313yes—
472C22⋊C8C23×C4316yescomplemented
473C22⋊C8C23×C4316yescomplemented
474C24—224no—
475C24—23no—
476C24—26no—
477C24—26no—
478C24—86no—
479C24—86no—
480C24C2×D4×C4313yes—
481#41—224no—
482#41—248no—
483#41—224no—
484#41—216no—
485#41—24no—
486#41—212no—
487#41—212no—
488#41—212no—
489#41—212no—
490#41—212no—
491#41—212no—
492#41—412no—
493#41C2×D4×C43124yes—
494#41C2×D4×C4318yes—
495C2×Q8—24no—
496C2×Q8—24no—
497C2×Q8—21no—
498C2×Q8—23no—
499C2×Q8—212no—
500C2×Q8—44no—
501C2×Q8C2×D4×C4313yes—
502C2×Q8C2×D4×C4311yescharacteristic
503C2×Q8C24×C4313yes—
504C2×Q8C24×C4312yes—
505C2×D4—224no—
506C2×D4—224no—
507C2×D4—296no—
508C2×D4—224no—
509C2×D4—248no—
510C2×D4—224no—
511C2×D4—26no—
512C2×D4—26no—
513C2×D4—212no—
514C2×D4—248no—
515C2×D4—212no—
516C2×D4—224no—
517C2×D4—21no—
518C2×D4—23no—
519C2×D4—23no—
520C2×D4—26no—
521C2×D4—23no—
522C2×D4—26no—
523C2×D4—212no—
524C2×D4C2×D4×C4316yes—
525C2×D4C2×D4×C4313yes—
526C2×D4C2×D4×C43124yes—
527C2×D4C2×D4×C4313yes—
528C2×D4C24×C4311yescharacteristic
529C2×D4C24×C4316yes—
530C22×C4—224no—
531C22×C4—21no—
532C22×C4—26no—
533C22×C4—26no—
534C22×C4—212no—
535C22×C4—23no—
536C22×C4—23no—
537C22×C4—23no—
538C22×C4C2×D4×C4313yes—
539C22×C4C2×D4×C4313yes—
540C22×C4C2×D4×C4313yes—
541C22×C4C24×C4311yescharacteristic
542C22×C4C24×C4313yes—
543C22×C4C24×C4313yes—
544Q16—212no—
545SD16—24no—
546SD16—212no—
547SD16—224no—
548D8—212no—
549M16—212no—
550C2×C8—212no—
551C2×C8C24×C4312yes—
552C2×C8C24×C4316yes—
553C4⋊C4—23no—
554C4⋊C4—26no—
555C4⋊C4—23no—
556C4⋊C4—23no—
557C4⋊C4C24×C4313yes—
558C4⋊C4C24×C4311yescharacteristic
559C22⋊C4—23no—
560C22⋊C4—26no—
561C22⋊C4—23no—
562C22⋊C4—23no—
563C22⋊C4—21no—
564C22⋊C4—23no—
565C42—23no—
566C23—212no—
567C23—224no—
568C23—26no—
569C23—26no—
570C23—26no—
571C23—224no—
572C23—21no—
573C23—43no—
574C23—46no—
575C23—46no—
576C23—86no—
577C23—86no—
578C23—86no—
579C23—86no—
580C23—848no—
581C23C22×D4×C4313yes—
582C23C22×D4×C4313yes—
583C23C22×D4×C4311yescharacteristic
584Q8—24no—
585Q8—26no—
586Q8—22no—
587Q8—26no—
588Q8—46no—
589Q8#120×C4314yes—
590Q8C22×D4×C4314yes—
591D4—224no—
592D4—224no—
593D4—212no—
594D4—224no—
595D4—212no—
596D4—26no—
597D4—224no—
598D4—26no—
599D4—22no—
600D4—46no—
601D4—42no—
602D4—83no—
603D4#120×C43112yes—
604D4C22×D4×C43112yes—
605C2×C4—24no—
606C2×C4—224no—
607C2×C4—26no—
608C2×C4—22no—
609C2×C4—26no—
610C2×C4—224no—
611C2×C4—26no—
612C2×C4—22no—
613C2×C4—26no—
614C2×C4—21no—
615C2×C4—23no—
616C2×C4—23no—
617C2×C4—46no—
618C2×C4—46no—
619C2×C4—83no—
620C2×C4C22×D4×C4313yes—
621C2×C4C22×D4×C4311yescharacteristic
622C2×C4C22×D4×C4313yes—
623C2×C4C22×D4×C43112yes—
624C2×C4C25×C4311yescharacteristic
625C8—22no—
626C8—26no—
627C22—21no—
628C22—23no—
629C22—23no—
630C22—21no—
631C22—23no—
632C22—212no—
633C22—23no—
634C22—23no—
635C22—412no—
636C22—424no—
637C22—46no—
638C22—46no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—824no—
643C22—824no—
644C22C2×#120×C4316yes—
645C22C43×#57712yescomplemented
646C22C23×D4×C4311yescharacteristic
647C4—24no—
648C4—23no—
649C4—21no—
650C4—43no—
651C4—41no—
652C4—43no—
653C4C2×#120×C4316yes—
654C4C23×D4×C4312yes—
655C2—22no—
656C2—26no—
657C2—43no—
658C2—412no—
659C2—81no—
660C2C22×#120×C4311yescharacteristic
661C2C2×C43×#57711yescharacteristic
662C2C43×#358511yescharacteristic
subgroupG/H
center, socleC22×C43C23×D4
commutator, Frattini, cosocleC2×C4C25×C43
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C43 ◁ C22×#41×C43 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C22×H(5,𝔽2)×C43C2semidirect
2. C2×C43×#577C2semidirect
3. C43×#3489C2semidirect
4. C43×#3012C2semidirect
5. C43×#3009C2semidirect
6. C43×#3007C2semidirect
7. C43×#3003C2semidirect
8. C43×#3002C2semidirect
9. C2×C43×#450C2semidirect
10. C43×#2897C2semidirect
11. C43×#2880C2semidirect
12. C2×2−1+4×C43C22semidirect
24. C2×#137×C43C22semidirect
25. C2×AGL(1,ℤ/8)×C43C22semidirect
26. C2×#135×C43C22semidirect
27. C22×SD16×C43C22semidirect
28. C2×#131×C43C22semidirect
33. C43×#537C22semidirect
34. C43×#536C22semidirect
35. C43×#525C22semidirect
36. C2×C22⋊Q8×C43C22semidirect
37. C43×#520C22semidirect
38. C43×#452C22semidirect
39. C43×#452C22semidirect
40. C43×#451C22semidirect
41. C43×#450C22semidirect
42. C43×#450C22semidirect
43. C43×#450C22semidirect
44. C43×#450C22semidirect
45. C43×#449C22semidirect
46. C43×#448C22semidirect
47. C43×#447C22semidirect
48. C43×#447C22semidirect
49. C43×#418C22semidirect
50. C43×#417C22semidirect
51. C43×#416C22semidirect
52. C2×#102×C43C22semidirect
53. C43×#408C22semidirect
54. C43×#407C22semidirect
55. C2×C22⋊C8×C43C22semidirect
63. H(5,𝔽2)×C43D4semidirect
78. C2×#41×C43C23semidirect
82. C22×Q8×C43C23semidirect
101. C2×Q16×C43C23semidirect
103. C2×SD16×C43C23semidirect
104. C2×SD16×C43C23semidirect
105. C2×SD16×C43C23semidirect
106. C2×D8×C43C23semidirect
108. C2×M16×C43C23semidirect
109. C22×C8×C43C23semidirect
118. C22⋊Q8×C43C23semidirect
119. C22⋊Q8×C43C23semidirect
123. #121×C43C23semidirect
129. #117×C43C23semidirect
131. C2×C4⋊C4×C43C23semidirect
133. #103×C43C23semidirect
134. #103×C43C23semidirect
135. #102×C43C23semidirect
136. #102×C43C23semidirect
137. #102×C43C23semidirect
140. C22⋊C8×C43C23semidirect
141. C22⋊C8×C43C23semidirect
295. #60373C43direct (N × H)
314. C22×C43#577semidirect
324. C22×H(5,𝔽2)C2×C43semidirect
325. C2×#577C2×C43semidirect
326. #3489C2×C43semidirect
327. #3012C2×C43semidirect
328. #3009C2×C43semidirect
329. #3007C2×C43semidirect
330. #3003C2×C43semidirect
331. #3002C2×C43semidirect
332. C2×#450C2×C43semidirect
333. #2897C2×C43semidirect
334. #2880C2×C43semidirect
343. C2×2−1+4C22×C43semidirect
355. C2×#137C22×C43semidirect
356. C2×AGL(1,ℤ/8)C22×C43semidirect
357. C2×#135C22×C43semidirect
358. C22×SD16C22×C43semidirect
359. C2×#131C22×C43semidirect
364. #537C22×C43semidirect
365. #536C22×C43semidirect
366. #525C22×C43semidirect
367. C2×C22⋊Q8C22×C43semidirect
368. #520C22×C43semidirect
369. #452C22×C43semidirect
370. #452C22×C43semidirect
371. #451C22×C43semidirect
372. #450C22×C43semidirect
373. #450C22×C43semidirect
374. #450C22×C43semidirect
375. #450C22×C43semidirect
376. #449C22×C43semidirect
377. #448C22×C43semidirect
378. #447C22×C43semidirect
379. #447C22×C43semidirect
380. #418C22×C43semidirect
381. #417C22×C43semidirect
382. #416C22×C43semidirect
383. C2×#102C22×C43semidirect
384. #408C22×C43semidirect
385. #407C22×C43semidirect
386. C2×C22⋊C8C22×C43semidirect
387. C43#60373direct (N × H)
395. H(5,𝔽2)D4×C43semidirect
410. C2×#41C23×C43semidirect
414. C22×Q8C23×C43semidirect
433. C2×Q16C23×C43semidirect
435. C2×SD16C23×C43semidirect
436. C2×SD16C23×C43semidirect
437. C2×SD16C23×C43semidirect
438. C2×D8C23×C43semidirect
440. C2×M16C23×C43semidirect
441. C22×C8C23×C43semidirect
450. C22⋊Q8C23×C43semidirect
451. C22⋊Q8C23×C43semidirect
455. #121C23×C43semidirect
461. #117C23×C43semidirect
463. C2×C4⋊C4C23×C43semidirect
465. #103C23×C43semidirect
466. #103C23×C43semidirect
467. #102C23×C43semidirect
468. #102C23×C43semidirect
469. #102C23×C43semidirect
472. C22⋊C8C23×C43semidirect
473. C22⋊C8C23×C43semidirect
645. C22C43×#577semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C22×H(5,𝔽2)×C432
C2×C43×#5772
C43×#34892
C43×#30122
C43×#30092
C43×#30072
C43×#30032
C43×#30022
C2×C43×#4502
C43×#28972
C43×#28802
#6037343